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Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - nth Term (Questions)

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The letter n (usually in italics) is often used in algebra to indicate the position of a term in a sequence. This can be a little difficult to grasp but work through this Math quiz (and read the helpful comments!) and you will soon get the idea.

1. The nth term of a sequence is given by 3n + 1. What is the numeric value of the 1st term?
[ ] 3
[ ] 4
[ ] 6
[ ] 9
2. The nth term of a sequence is given by 3n + 1. What is the numeric value of the 3rd term?
[ ] 4
[ ] 6
[ ] 8
[ ] 10
3. The nth term of a sequence is given by 3n + 1. What is the numeric value of the 8th term?
[ ] 12
[ ] 13
[ ] 25
[ ] 50
4. The nth term of a sequence is given by 14n - 6. What is the numeric value of the 2nd term?
[ ] 8
[ ] 20
[ ] 22
[ ] 24
5. The nth term of a sequence is (n + 1)2. What is the the numeric value of the 4th term?
[ ] 20
[ ] 25
[ ] 30
[ ] 35
6. The nth term of a sequence is (2n)2 + 1. What is the the numeric value of the 3rd term?
[ ] 33
[ ] 35
[ ] 37
[ ] 39
7. What is the nth term of the sequence 6, 11, 16, 21?
[ ] 5n
[ ] 5n + 1
[ ] 5n + 5
[ ] n + 5
8. What is the next number in this sequence: 1, 4, 9, 16?
[ ] 18
[ ] 20
[ ] 22
[ ] 25
9. What is the next number in this sequence: 1, 8, 27?
[ ] 35
[ ] 36
[ ] 54
[ ] 64
10. What is the next number in this sequence: 1, 1, 2, 3, 5, 8?
[ ] 12
[ ] 13
[ ] 14
[ ] 15
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Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - nth Term (Answers)
1. The nth term of a sequence is given by 3n + 1. What is the numeric value of the 1st term?
[ ] 3
[x] 4
[ ] 6
[ ] 9
In the 1st term the value of n will be 1 and therefore the answer can be found as follows: (3 x 1) + 1
2. The nth term of a sequence is given by 3n + 1. What is the numeric value of the 3rd term?
[ ] 4
[ ] 6
[ ] 8
[x] 10
The answer can be found as follows: (3 x 3) + 1
3. The nth term of a sequence is given by 3n + 1. What is the numeric value of the 8th term?
[ ] 12
[ ] 13
[x] 25
[ ] 50
We are told that we need the 8th term. We put an 8 where the n is and then work it out: (3 x 8) + 1
4. The nth term of a sequence is given by 14n - 6. What is the numeric value of the 2nd term?
[ ] 8
[ ] 20
[x] 22
[ ] 24
(14 x 2) - 6
5. The nth term of a sequence is (n + 1)2. What is the the numeric value of the 4th term?
[ ] 20
[x] 25
[ ] 30
[ ] 35
(4 + 1)2
6. The nth term of a sequence is (2n)2 + 1. What is the the numeric value of the 3rd term?
[ ] 33
[ ] 35
[x] 37
[ ] 39
(2 x 3)2 + 1
7. What is the nth term of the sequence 6, 11, 16, 21?
[ ] 5n
[x] 5n + 1
[ ] 5n + 5
[ ] n + 5
(5 x n) + 1
8. What is the next number in this sequence: 1, 4, 9, 16?
[ ] 18
[ ] 20
[ ] 22
[x] 25
These are known as square numbers. The 1st number in the sequence is 1 x 1; the 2nd number is 2 x 2; the 3rd number is 3 x 3 etc.
9. What is the next number in this sequence: 1, 8, 27?
[ ] 35
[ ] 36
[ ] 54
[x] 64
These are known as cube numbers. The 1st number in the sequence is 1 x 1 x 1; the 2nd number is 2 x 2 x 2; the 3rd number is 3 x 3 x 3 and the 4th number will be 4 x 4 x 4
10. What is the next number in this sequence: 1, 1, 2, 3, 5, 8?
[ ] 12
[x] 13
[ ] 14
[ ] 15
This is known as the Fibonacci sequence. To find each number you add together the two previous numbers. After 13 comes 21 (8 + 13) and then comes 34 (21 + 13)